4145644200 has 384 divisors, whose sum is σ = 14349081600. Its totient is φ = 985374720.

The previous prime is 4145644199. The next prime is 4145644201. The reversal of 4145644200 is 24465414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4145644199) and next prime (4145644201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4145644201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25433319 + ... + 25433481.

It is an arithmetic number, because the mean of its divisors is an integer number (37367400).

Almost surely, 2^4145644200 is an apocalyptic number.

4145644200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174540800).

4145644200 is an abundant number, since it is smaller than the sum of its proper divisors (10203437400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4145644200 is a wasteful number, since it uses less digits than its factorization.

4145644200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4145644200 is about 64386.6771933449. The cubic root of 4145644200 is about 1606.4381477032.

The spelling of 4145644200 in words is "four billion, one hundred forty-five million, six hundred forty-four thousand, two hundred".